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gmat tricky question , plz answer this

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by quantskillsgmat » Thu Jun 26, 2014 1:35 am
several cuboids of dimensions 4 by 6 by 8 are joined to form a cube. what should be length of one side of smallest such cube formed.
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by GMATinsight » Thu Jun 26, 2014 2:52 am
LCM of (4, 6, and 8) = 24 Answer
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by GMATinsight » Thu Jun 26, 2014 3:05 am
We will take LCM of 4, 6 and 8 because if we join the cuboids of these dimensions and then every dimension of these cuboids will be formed by 4, 6 and 8 but since we have to make a cube and cube has all sides equal therefore sides should be multiple of 4, 6 and 8 all of them

The smallest multiple of 4, 6 and 8 is LCM of them i.e. 24 therefore side of the smallest such cube will be 24
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